A car averages 28.5 miles per gallon of gasoline.How many liters of gasoline will be needed for a trip of 415 km? Some conversion factors that may be helpful are the following:
1 qt = 0.946 L
1 mile = 1.609 km
4 qt = 1 gal (exact)
1 ft = 12 in (exact)

Question

Quizplus · Accepted Answer

First, convert the trip distance from kilometers to miles: $415 \, \text{km} \times \frac{1 \, \text{mile}}{1.609 \, \text{km}} \approx 258 \, \text{miles}$. Then, calculate the gallons needed: $258 \, \text{miles} \div 28.5 \, \text{miles/gallon} \approx 9.05 \, \text{gallons}$. Finally, convert gallons to liters: $9.05 \, \text{gallons} \times 4 \, \text{qt/gallon} \times 0.946 \, \text{L/qt} \approx 34.2 \, \text{L}$, which is approximately $3 \times 10^1 \, \text{L}$.

A Car Averages 28